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Finding the Fourth Proportional to 10,408.66, 14,368.23 and 7,056.07

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Solution

The fourth proportional to 10,408.66, 14,368.23 and 7,056.07 is: 9,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.66 : 14,368.23 = 7,056.07 : x
  2. Step 2: Convert to fraction form
    10,408.66/14,368.23 = 7,056.07/x
  3. Step 3: Cross multiply
    10,408.66x = 14,368.23 × 7,056.07
  4. Step 4: Simplify right side
    10,408.66x = 101,383,200.74
  5. Step 5: Solve for x
    x = 101,383,200.74/10,408.66
  6. Step 6: Final answer
    x = 9,740.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.